Author： Stoyanov L.
Publisher： Academic Press
ISSN： 0022-247X
Source： Journal of Mathematical Analysis and Applications, Vol.204, Iss.1, 1996-11, pp. : 164-182
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Abstract
The generalized Hamiltonian flow F t generated by a smooth function on a symplectic manifold S with smooth boundary ∂ S is considered. It is proved that if F t has no tangencies of infinite order to ∂ S , then given a metric d on S , an integral curve sigma( t ) of F t , a compact neighbourhood K of sigma(0) in S , and T >0, there exist alpha>0 and C >0 such that d (sigma( t ), rho( t ))< Cd (sigma(0), rho(0)) alpha holds for | t |< T whenever rho( t ) is an integral curve of F t with rho(0)∈ K .
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